Solve (((-4)+4+(-8)-6-(-3))*(-3+5-7-8-9))div(((-2+12)-(-14)))

$$(((-4)+4+(-8)-6-(-3)) \times (-3+5-7-8-9)) \div (((-2+12)-(-14)))$$

Evaluate

$$\frac{121}{12}\approx 10.083333333$$

Solution Steps

Add -4 and 4 to get 0.

$$\frac{\left(-8-6-\left(-3\right)\right)\left(-3+5-7-8-9\right)}{-2+12-\left(-14\right)}$$

Subtract 6 from -8 to get -14.

$$\frac{\left(-14-\left(-3\right)\right)\left(-3+5-7-8-9\right)}{-2+12-\left(-14\right)}$$

The opposite of -3 is 3.

$$\frac{\left(-14+3\right)\left(-3+5-7-8-9\right)}{-2+12-\left(-14\right)}$$

Add -14 and 3 to get -11.

$$\frac{-11\left(-3+5-7-8-9\right)}{-2+12-\left(-14\right)}$$

Add -3 and 5 to get 2.

$$\frac{-11\left(2-7-8-9\right)}{-2+12-\left(-14\right)}$$

Subtract 7 from 2 to get -5.

$$\frac{-11\left(-5-8-9\right)}{-2+12-\left(-14\right)}$$

Subtract 8 from -5 to get -13.

$$\frac{-11\left(-13-9\right)}{-2+12-\left(-14\right)}$$

Subtract 9 from -13 to get -22.

$$\frac{-11\left(-22\right)}{-2+12-\left(-14\right)}$$

Multiply -11 and -22 to get 242.

$$\frac{242}{-2+12-\left(-14\right)}$$

Add -2 and 12 to get 10.

$$\frac{242}{10-\left(-14\right)}$$

The opposite of -14 is 14.

$$\frac{242}{10+14}$$

Add 10 and 14 to get 24.

$$\frac{242}{24}$$

Reduce the fraction \frac{242}{24} to lowest terms by extracting and canceling out 2.

$$\frac{121}{12}$$

Factor

$$\frac{11 ^ {2}}{2 ^ {2} \cdot 3} = 10\frac{1}{12} = 10.083333333333334$$